Solve the System for X and Y Using Cramer's Rule $$\begin{array} { r } a x + b y = \frac { a } { b } \\x + y = \frac { 1 } { a }\end{array}$$

question 53

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
- $$\begin{array} { r } a x + b y = \frac { a } { b } \\x + y = \frac { 1 } { a }\end{array}$$

• A) \(\left\{ \left( \frac { a + b } { a b } , - \frac { 1 } { b } \right) \right\}\)
• B) \(\left\{ \left( \frac { \mathrm { a } - \mathrm { b } } { \mathrm { ab } } , \frac { 1 } { \mathrm {~b} } \right) \right\}\)
• C) \(\left\{ \left( \frac { a b } { a + b } , - b \right) \right\}\)
• D) \(\left\{ \left( \frac { a b } { a + b } , - \frac { 1 } { b } \right) \right\}\)

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Definitions:

Mechanical Deficiency

A state or condition resulting from the inadequate physical functioning of a structure or mechanism.

Spiral Organ

A structure in the cochlea of the inner ear responsible for converting sound vibrations into neural signals.

Sound Waves

Audible disturbances that propagate through the air or other materials and are perceivable when they arrive at the ear of a human or animal.

Sense Organs

Organs that receive stimuli (like the eyes, ears, nose, tongue, and skin) and send information to the brain via the nervous system to be interpreted.